Phase Shift between Supersymmetric Partner Potentials

Sabyasachi Mahapatra

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DOI: 10.4236/jmp.2012.31011                

Abstract

The relationship between phase shifts produced by two supersymmetric (SUSY) partner potentials has been examined critically. Phase shifts produced by two SUSY partner potentials bear a simple relation irrespective of being shape invariant potential (SIP) or not (non-SIP). In general, the phase shift cannot be obtained algebraically, even for standard SIPs except the Coulomb potential.

Keywords

Phase Shift; Supersymmetry; Shape Invariant Potential

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[10]	Y. A. Gel’fand and E. P. Likhtman, “Extension of the Algebra of Poincare Group Generators and Violation of P Invariance,” JETP Letters, Vol. 13, 1971, p. 323.
[11]	F. Cooper, A. Khare and U. Sukhatme, “Supersymmetry and Quantum Mechanics,” Physics Reports, Vol. 251, No. 5-6, 1995, pp. 267-385. doi:10.1016/0370-1573(94)00080-M
[12]	C. V. Sukumar, “Supersymmetric Quantum Mechanics and the Inverse Scattering Method,” Journal of Physics A, Vol. 18, No. 15, 1985, p. 2937. doi:10.1088/0305-4470/18/15/021
[13]	J. J. Sakurai, “Modern Quantum Mechanics,” Addison- Wesley, Boston, 2000.
[14]	S. Mahapatra and T. K. Das, “On the Algebraic Derivation of Phase Shifts for Shape Invariant Potentials,” Modern Physics Letters A, Vol. 26, No. 23, 2011, pp. 1753-1761. doi:10.1142/S0217732311036061